Brahmagupta was an Ancient Indian astronomer and mathematician who lived from AD to AD. He was born in the city of Bhinmal in Northwest India. Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta Ⓣ, in The field of mathematics is incomplete without the generous contribution of an Indian mathematician named, Brahmagupta. Besides being a great.

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Brahmagupta’s most famous result in geometry matyematician his formula for cyclic quadrilaterals. The solution of the general Pell’s equation would have to wait for Bhaskara II in c. The work is thought to be a revised version of the received siddhanta of the Brahmapaksha btahmagupta, incorporated with some of his own new material. The court of Caliph Al-Mansur — received an embassy from Sindh, including an astrologer called Kanaka, who brought possibly memorised astronomical texts, including those of Brahmagupta.

The product of the first [pair], multiplied by the multiplier, with the product of the last [pair], is the last computed. He explains that since the Moon is closer to the Earth than the Sun, the degree of the illuminated part of the Moon depends on the relative positions of the Sun and the Moon, and this can be computed from the size of the angle between the two bodies.

According to George Sarton, he was a great scientist of his race. You can help by adding to it.

The historian of science George Sarton called him msthematician of the greatest scientists of his race and the greatest of his time. A Pythagorean triple can therefore be obtained from ab and c by multiplying each of them by the least common multiple of their denominators.

Little is known of these authors.

## Brahmagupta

Any text you add should be original, not copied from other sources. Later, Brahmagupta moved to Ujjainwhich was also a major centre for astronomy.

The sum of the squares is that [sum] multiplied by twice the [number of] step[s] increased by one [and] divided by three. In chapter twelve of his BrahmasphutasiddhantaBrahmagupta provides a formula useful for generating Pythagorean triples:. By using this site, you agree to allow cookies to be placed.

Prithudaka Svamina later commentator, called him Bhillamalacharyathe teacher from Bhillamala. The procedures for finding the cube and cube-root of an integer, however, are described compared the latter to Aryabhata’s very similar formulation.

It was also a centre of learning for mathematics and astronomy. The mathematician Al-Khwarizmi — CE wrote a text called al-Jam wal-tafriq bi hisal-al-Hind Addition and Subtraction in Indian Arithmeticwhich was translated into Latin in the 13th century as Algorithmi de numero indorum. Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician.

The division was primarily about the application of mathematics to the physical world, rather than about the mathematics itself. Your contribution may be further edited by our staff, and its publication is subject to our final approval.

He further gave two equivalent solutions to the general quadratic bramhagupta. The base decreased and increased by the difference between the squares of the sides divided by the base; when divided by two they are the true segments.

Thus Brahmagupta enumerates his first six sine-values as, Brahmagupta gave the solution of the general linear equation in chapter eighteen of Brahmasphutasiddhanta. His work was very significant considering the fact that he had no telescope or scientific equipment to help him arrive at his conclusions.

The square of the diagonal is diminished by the square of half the sum of the base and the top; the square-root is the perpendicular [altitudes]. He further finds the average depth of a series of pits. This text is a practical manual of Indian mathemativian which is meant to guide students.

The Euclidean algorithm was known to him as the “pulverizer” since it breaks numbers down into ever smaller pieces. Zero Modern number system Brahmagupta’s theorem Brahmagupta’s identity Brahmagupta’s problem Brahmagupta-Fibonacci identity Brahmagupta’s interpolation formula Brahmagupta’s formula.

The square of a negative or of a positive is positive; [the square] of zero is zero. The additive is equal to the product of the additives. He brought originality to the treatise by adding a great deal of new material to it. He expounded on the rules for dealing with negative numbers e. Whatever is the square-root of the rupas multiplied by the square [and] increased by the square of half the unknown, diminish that by half the unknown [and] divide [the remainder] by its square.

A triangle with rational sides abc and rational area is of the form:. The diameter and the square of the radius [each] multiplied by 3 are [respectively] the practical circumference and the area [of a circle].

### Brahmagupta biography

That of which [the square] is the square is [its] square-root. In Brahmagupta’s case, the disagreements stemmed largely from the choice of astronomical parameters and theories. The Nothing That Is: A negative or a positive divided by zero has that [zero] as its divisor, or zero divided by a negative or a positive [has that negative or positive as its divisor].

Its perpendicular is the lower portion of the [central] perpendicular; the upper portion of the [central] perpendicular is half of the sum of the [sides] perpendiculars diminished by the lower [portion of the central perpendicular]. Takao Hayashi Learn More in these related Britannica articles: Carl Gustav Jacob Jacobi German.

The role of astronomy and astrology number theory In number theory: Moreover, in a chapter titled Lunar Cresent he criticized the notion that the Moon is farther from the Earth than the Sun which was mentioned in Vedic scripture.

Some of the important contributions made by Brahmagupta in astronomy are his methods for calculating the position of heavenly bodies over time ephemeridestheir rising and setting, conjunctionsand the calculation of solar and lunar eclipses. Expeditions were sent into Gurjaradesa. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician…. In the beginning of chapter twelve of his Brahmasphutasiddhantaentitled CalculationBrahmagupta details operations on fractions.

He is believed to have died in Ujjain. Keep Exploring Britannica Albert Einstein.